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All results from a given calculation for C7H7 (cycloheptatrienyl radical)

using model chemistry: HF/daug-cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 no C2V 2A2
1 2 yes CS 2A"

Conformer 1 (C2V)

Jump to S1C2
Energy calculated at HF/daug-cc-pVTZ
 hartrees
Energy at 0K-269.192102
Energy at 298.15K 
HF Energy-269.192102
Nuclear repulsion energy258.712197
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HF/daug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A1 3332 3014 0.46      
2 A1 3320 3003 62.23      
3 A1 3307 2991 1.91      
4 A1 3285 2971 1.18      
5 A1 1818 1645 2.57      
6 A1 1642 1485 0.73      
7 A1 1582 1431 3.17      
8 A1 1375 1244 0.36      
9 A1 1286 1164 0.37      
10 A1 998 903 0.74      
11 A1 973 880 2.01      
12 A1 849 768 0.12      
13 A1 439 397 0.46      
14 A2 1125 1018 0.00      
15 A2 1029 930 0.00      
16 A2 788 713 0.00      
17 A2 577 522 0.00      
18 A2 304 275 0.00      
19 B1 1022 924 0.20      
20 B1 890 805 3.28      
21 B1 815 737 2.19      
22 B1 669 605 105.20      
23 B1 539 487 16.70      
24 B1 150 136 0.01      
25 B2 3322 3005 63.61      
26 B2 3293 2979 3.81      
27 B2 3286 2972 0.77      
28 B2 1615 1461 1.57      
29 B2 1574 1424 3.68      
30 B2 1523 1378 0.09      
31 B2 1394 1261 0.20      
32 B2 1232 1114 0.14      
33 B2 980 886 0.06      
34 B2 966 873 5.29      
35 B2 468 424 0.55      
36 B2 2647i 2394i 51.31      

Unscaled Zero Point Vibrational Energy (zpe) 24559.2 cm-1
Scaled (by 0.9046) Zero Point Vibrational Energy (zpe) 22216.3 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HF/daug-cc-pVTZ
ABC
0.12510 0.12403 0.06228

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/daug-cc-pVTZ

Point Group is C2v

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.000 0.000 1.620
C2 0.000 1.268 1.000
C3 0.000 -1.268 1.000
C4 0.000 1.582 -0.336
C5 0.000 -1.582 -0.336
C6 0.000 0.664 -1.474
C7 0.000 -0.664 -1.474
H8 0.000 0.000 2.693
H9 0.000 2.106 1.674
H10 0.000 -2.106 1.674
H11 0.000 2.626 -0.587
H12 0.000 -2.626 -0.587
H13 0.000 1.145 -2.435
H14 0.000 -1.145 -2.435

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.41191.41192.51512.51513.16423.16421.07352.10682.10683.42963.42964.21354.2135
C21.41192.53691.37163.14772.54633.13922.11591.07543.44132.08784.20483.43714.1980
C31.41192.53693.14771.37163.13922.54632.11593.44131.07544.20482.08784.19803.4371
C42.51511.37163.14773.16401.46222.51833.41702.07694.20011.07344.21512.14463.4417
C52.51513.14771.37163.16402.51831.46223.41704.20012.07694.21511.07343.44172.1446
C63.16422.54633.13921.46222.51831.32874.21983.46254.19352.15253.40741.07482.0489
C73.16423.13922.54632.51831.46221.32874.21984.19353.46253.40742.15252.04891.0748
H81.07352.11592.11593.41703.41704.21984.21982.33972.33974.20144.20145.25475.2547
H92.10681.07543.44132.07694.20013.46254.19352.33974.21222.31995.24414.22025.2399
H102.10683.44131.07544.20012.07694.19353.46252.33974.21225.24412.31995.23994.2202
H113.42962.08784.20481.07344.21512.15253.40744.20142.31995.24415.25112.36824.1993
H123.42964.20482.08784.21511.07343.40742.15254.20145.24412.31995.25114.19932.3682
H134.21353.43714.19802.14463.44171.07482.04895.25474.22025.23992.36824.19932.2901
H144.21354.19803.43713.44172.14462.04891.07485.25475.23994.22024.19932.36822.2901

picture of cycloheptatrienyl radical state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 26.049 C1 C2 H9 115.110
C1 C7 C6 77.880 C1 C7 H14 165.550
C2 C1 C7 76.070 C2 C1 H8 116.049
C2 C3 C4 25.100 C2 C3 H10 141.160
C3 C2 H9 141.160 C3 C4 C5 25.100
C3 C4 H11 168.436 C4 C3 H10 166.260
C4 C5 C6 26.874 C4 C5 H12 166.463
C5 C4 H11 166.463 C5 C6 C7 26.874
C5 C6 H13 143.444 C6 C5 H12 139.589
C6 C7 H14 116.570 C7 C1 H8 167.880
C7 C6 H13 116.570
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.300      
2 C -0.388      
3 C -0.388      
4 C -0.375      
5 C -0.375      
6 C -0.315      
7 C -0.315      
8 H 0.311      
9 H 0.410      
10 H 0.410      
11 H 0.332      
12 H 0.332      
13 H 0.331      
14 H 0.331      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.000 0.000 0.092 0.092
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -47.096 0.000 0.000
y 0.000 -37.640 0.000
z 0.000 0.000 -37.872
Traceless
 xyz
x -9.340 0.000 0.000
y 0.000 4.844 0.000
z 0.000 0.000 4.496
Polar
3z2-r28.991
x2-y2-9.456
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 7.526 0.000 0.000
y 0.000 13.830 0.000
z 0.000 0.000 13.330


<r2> (average value of r2) Å2
<r2> 186.005
(<r2>)1/2 13.638

Conformer 2 (CS)

Jump to S1C1
Energy calculated at HF/daug-cc-pVTZ
 hartrees
Energy at 0K-269.192758
Energy at 298.15K-269.199814
HF Energy-269.192758
Nuclear repulsion energy258.499728
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at HF/daug-cc-pVTZ
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A' 3331 3013 1.69      
2 A' 3320 3004 62.96      
3 A' 3319 3002 67.08      
4 A' 3306 2990 1.51      
5 A' 3295 2980 3.37      
6 A' 3286 2973 1.74      
7 A' 3284 2971 0.52      
8 A' 1719 1555 0.06      
9 A' 1665 1506 0.65      
10 A' 1604 1451 0.84      
11 A' 1588 1437 1.98      
12 A' 1573 1423 4.87      
13 A' 1522 1377 0.12      
14 A' 1418 1282 0.97      
15 A' 1364 1234 0.09      
16 A' 1287 1164 0.24      
17 A' 1220 1103 0.10      
18 A' 1001 906 2.17      
19 A' 988 894 9.98      
20 A' 974 881 2.30      
21 A' 949 858 0.01      
22 A' 923 835 1.47      
23 A' 837 757 0.41      
24 A' 464 420 0.50      
25 A' 437 395 0.20      
26 A" 1073 970 0.33      
27 A" 1060 959 0.00      
28 A" 1005 909 0.08      
29 A" 872 789 0.00      
30 A" 802 726 2.69      
31 A" 797 721 0.00      
32 A" 671 607 106.02      
33 A" 564 510 0.00      
34 A" 542 490 17.49      
35 A" 301 272 0.04      
36 A" 151 137 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 26254.4 cm-1
Scaled (by 0.9046) Zero Point Vibrational Energy (zpe) 23749.7 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at HF/daug-cc-pVTZ
ABC
0.12500 0.12370 0.06218

See section I.F.4 to change rotational constant units
Geometric Data calculated at HF/daug-cc-pVTZ

Point Group is Cs

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.381 -1.573 0.000
C2 -1.016 -1.260 0.000
C3 1.441 -0.740 0.000
C4 -1.613 -0.000 0.000
C5 1.441 0.741 0.000
C6 -1.016 1.260 0.000
C7 0.382 1.573 0.000
H8 0.608 -2.624 0.000
H9 -1.683 -2.101 0.000
H10 2.416 -1.192 0.000
H11 -2.688 -0.000 0.000
H12 2.416 1.192 0.000
H13 -1.682 2.102 0.000
H14 0.608 2.624 0.000

Atom - Atom Distances (Å)
  C1 C2 C3 C4 C5 C6 C7 H8 H9 H10 H11 H12 H13 H14
C11.43201.34812.53992.54493.15853.14611.07532.13052.06973.44923.43294.21434.2033
C21.43202.51181.39393.16872.51943.15892.12131.07363.43232.09384.21763.42674.2100
C31.34812.51183.14291.48073.16832.54452.05993.40771.07384.19572.16404.22293.4660
C42.53991.39393.14293.14311.39422.54063.43802.10234.20121.07544.20152.10293.4384
C52.54493.16871.48073.14312.51171.34773.46624.22332.16414.19581.07383.40722.0596
C63.15852.51943.16831.39422.51171.43244.20973.42654.21732.09383.43241.07362.1216
C73.14613.15892.54452.54061.34771.43244.20334.21473.43253.44982.06942.13051.0753
H81.07532.12132.05993.43803.46624.20974.20332.34992.30604.21364.22255.25155.2483
H92.13051.07363.40772.10234.22333.42654.21472.34994.19802.32965.25774.20295.2517
H102.06973.43231.07384.20122.16414.21733.43252.30604.19805.24142.38395.25724.2223
H113.44922.09384.19571.07544.19582.09383.44984.21362.32965.24145.24162.33024.2139
H123.43294.21762.16404.20151.07383.43242.06944.22255.25772.38395.24164.19762.3059
H134.21433.42674.22292.10293.40721.07362.13055.25154.20295.25722.33024.19762.3495
H144.20334.21003.46603.43842.05962.12161.07535.24835.25174.22234.21392.30592.3495

picture of cycloheptatrienyl radical state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C2 C3 24.572 C1 C2 H9 115.750
C1 C7 C6 77.351 C1 C7 H14 167.832
C2 C1 C7 77.374 C2 C1 H8 114.826
C2 C3 C4 25.557 C2 C3 H10 143.189
C3 C2 H9 140.322 C3 C4 C5 27.250
C3 C4 H11 166.387 C4 C3 H10 168.745
C4 C5 C6 25.559 C4 C5 H12 168.768
C5 C4 H11 166.363 C5 C6 C7 24.568
C5 C6 H13 140.278 C6 C5 H12 143.210
C6 C7 H14 114.817 C7 C1 H8 167.800
C7 C6 H13 115.709
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at HF/daug-cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.061      
2 C -0.383      
3 C -0.285      
4 C -0.064      
5 C -0.283      
6 C -0.385      
7 C -0.061      
8 H 0.267      
9 H 0.166      
10 H 0.190      
11 H 0.276      
12 H 0.191      
13 H 0.165      
14 H 0.267      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.049 -0.000 0.000 0.049
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -37.669 0.000 0.000
y 0.000 -37.882 0.000
z 0.000 0.000 -47.055
Traceless
 xyz
x 4.799 0.000 0.000
y 0.000 4.480 0.000
z 0.000 0.000 -9.279
Polar
3z2-r2-18.559
x2-y20.213
xy0.000
xz0.000
yz0.000


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 13.686 -0.001 0.000
y -0.001 13.324 0.000
z 0.000 0.000 7.504


<r2> (average value of r2) Å2
<r2> 186.265
(<r2>)1/2 13.648